# A recipe calls for 1/4 cup of sugar when being made for 4 people. How much sugar is needed if the recipe is adjusted to feed 7 people?

$\frac{7}{16}$ cup

#### Explanation:

We can use a ratio to find the answer. We can relate the original recipe in the numerators (4 people and $\frac{1}{4}$ cup of sugar) and the adjusted amounts in the denominators (7 people and the amount of sugar needed):

$\left(\text{4 people"/"7 people")=("1/4 cup"/"x cup}\right)$

To make things easy, I'll drop the units:

$\frac{4}{7} = \frac{\frac{1}{4}}{x}$

We can now cross multiply to find $x$:

$4 x = \frac{7}{4}$

$x = \frac{7}{16}$